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Finding the Fourth Proportional to 33,813.57, 46,642.95 and 20,376.30

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Solution

The fourth proportional to 33,813.57, 46,642.95 and 20,376.30 is: 28,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,813.57 : 46,642.95 = 20,376.30 : x
  2. Step 2: Convert to fraction form
    33,813.57/46,642.95 = 20,376.30/x
  3. Step 3: Cross multiply
    33,813.57x = 46,642.95 × 20,376.30
  4. Step 4: Simplify right side
    33,813.57x = 950,410,742.09
  5. Step 5: Solve for x
    x = 950,410,742.09/33,813.57
  6. Step 6: Final answer
    x = 28,107.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.